Operations of Functions! (Division) And some other stuff...
How would you solve this f(x)⁄g(x) problem (please include ALL steps and an explanation for each)?
Also, would the domain end up being (-∞, -3) U (-3, 1/2) U (1/2, 3) U (3, ∞)? Or would there be no 1/2? From what I think I got, the denominator should be 2(2x-1), so the denominator couldn't be 0, so it can't be 1/2. Am I right? Or would we just be looking in the middle of the solving/simplifying?
One last thing: when do we look in problems like these to get our domain (like when do we look to see what values are not included)?